SOLUTION: Which of the following sets of 3 segments would make up the three sides of a right triangle? I. 3 cm – 4 cm – 5 cm II. 4 cm – 4 cm – 5 cm III. 13 cm – 12 cm – 5cm IV. 24 cm

Algebra ->  Pythagorean-theorem -> SOLUTION: Which of the following sets of 3 segments would make up the three sides of a right triangle? I. 3 cm – 4 cm – 5 cm II. 4 cm – 4 cm – 5 cm III. 13 cm – 12 cm – 5cm IV. 24 cm      Log On


   



Question 322352: Which of the following sets of 3 segments would make up the three sides of a right triangle?
I. 3 cm – 4 cm – 5 cm
II. 4 cm – 4 cm – 5 cm
III. 13 cm – 12 cm – 5cm
IV. 24 cm – 7 cm – 25 cm
a. I only
b. I and II only
c. I, II, and III only
d. I and IV only
e. I, III, and IV only

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
All right triangles follow the Pythagorean theorem.
A%5E2%2BB%5E2=C%5E2
.
.
I) 3%5E2%2B4%5E2=5%5E2
9%2B16=25
25=25
YES
.
.
II) 16%2B16=25
32=25
NO
.
.
III)5%5E2%2B12%5E2=13%5E2
25%2B144=169
169=169
YES
.
.
IV)7%5E2%2B24%5E2=25%5E2
49%2B576=625
625=625
YES
.
.
.
e) is the correct answer.